What decimal value does the 8-bit binary number 10011110 have if it is on a computer using signed-magnitude representation?

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Computers and Technology

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5 March, 17:12

What decimal value does the 8-bit binary number 10011110 have if it is on a computer using signed-magnitude representation?

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Shawn Jennings · Answer 1

1 0 0 1 1 1 1 0

0 * 2^{0} + 1 * 2^{1} + 1 * 2^{2} + 1 * 2^{3} + 1 * 2^{4} + 0 * 2^{5} + 0 * 2^{6} = 30

The sign digit is a 1, so the entire number is negative, which gives - 30.